Root Lattice

The root lattice of a semisimple Lie algebra is the discrete lattice generated by the Lie algebra roots in h^*, the dual vector space to the Cartan subalgebra.

See also

Cartan Matrix, Lie Algebra, Lie Algebra Root, Lie Algebra Weight, Root System, Semisimple Lie Algebra, Weight Lattice, Weyl Chamber, Weyl Group

This entry contributed by Todd Rowland

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Cite this as:

Rowland, Todd. "Root Lattice." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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